Answer
390; her original calculation is not reasonable
Step-by-step explanation:
The image of the point (-6, -2) after dilation by a scalefactor of 4 centered at the origin is (-24, -8).
A scalefactor is defined as the ratio between the scale of a given original object and a new object,
We have,
To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:
(x', y') = (kx, ky)
where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.
Substituting the values given in the problem, we get:
(x', y') = (4*(-6), 4*(-2))
Simplifying,
(x', y') = (-24, -8)
Therefore,
The image of the point (-6, -2) after dilation by a scalefactor of 4 centered at the origin is (-24, -8).
Learn more about scalefactors here:
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